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Simplifying (6y + 11)(8y + 7) = 0 Reorder the terms: (11 + 6y)(8y + 7) = 0 Reorder the terms: (11 + 6y)(7 + 8y) = 0 Multiply (11 + 6y) * (7 + 8y) (11(7 + 8y) + 6y * (7 + 8y)) = 0 ((7 * 11 + 8y * 11) + 6y * (7 + 8y)) = 0 ((77 + 88y) + 6y * (7 + 8y)) = 0 (77 + 88y + (7 * 6y + 8y * 6y)) = 0 (77 + 88y + (42y + 48y2)) = 0 Combine like terms: 88y + 42y = 130y (77 + 130y + 48y2) = 0 Solving 77 + 130y + 48y2 = 0 Solving for variable 'y'. Factor a trinomial. (11 + 6y)(7 + 8y) = 0Subproblem 1
Set the factor '(11 + 6y)' equal to zero and attempt to solve: Simplifying 11 + 6y = 0 Solving 11 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6y = 0 + -11 6y = 0 + -11 Combine like terms: 0 + -11 = -11 6y = -11 Divide each side by '6'. y = -1.833333333 Simplifying y = -1.833333333Subproblem 2
Set the factor '(7 + 8y)' equal to zero and attempt to solve: Simplifying 7 + 8y = 0 Solving 7 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8y = 0 + -7 8y = 0 + -7 Combine like terms: 0 + -7 = -7 8y = -7 Divide each side by '8'. y = -0.875 Simplifying y = -0.875Solution
y = {-1.833333333, -0.875}
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